Изменения

\beta_j = \sum_{i=1}^d\alpha_i c_{ij} \implies\begin{pmatrix} \beta_1 \\ \beta_2 \\ \vdots \\ \beta_d \end{pmatrix} =\begin{pmatrix}c_{11} & c_{21} & \cdots & c_{d1} \\c_{12} & c_{22} & \cdots & c_{d2} \\\vdots & \vdots & \ddots & \vdots \\c_{1d} & c_{2d} & \cdots & c_{dd}\end{pmatrix}\cdot\begin{pmatrix} \alpha_1 \\ \alpha_2 \\ \vdots \\ \alpha_d \end{pmatrix}</math>